Math, asked by hussandeepsingh623, 11 months ago

Sine squire30+sine squire45+sine squire60

Answers

Answered by Bianchi
2

 { \sin }^{2} 30\degree  +  { \sin}^{2} 45\degree +  { \sin}^{2} 60\degree \\  =   {( \frac{1}{2} )}^{2}  +  {( \frac{1}{ \sqrt{2} } )}^{2}  +  { (\frac{ \sqrt{3} }{2}) }^{2}  \\  =  \frac{1}{4}  +  \frac{1}{2}  +  \frac{3}{4}  \\  =  \frac{1 + 2 + 3}{4}  \\  =  \frac{6}{4}  \\  =  \frac{3}{2}

HOPE IT'LL HELP....
Answered by Itzmissbycarbonate
2

 \sin {}^{2} (30)   +  \sin {}^{2} (45) +  \sin {}^{2} (60)  \\  = ( \frac{1}{2} ) {}^{2}   + ( \frac{1}{ \sqrt{2} }) {}^{2}   +  (\frac{ \sqrt{3} }{2} ) {}^{2} (putting \: the \: value \: of \:  \sin(30)  \sin(45)  \:  \sin(60)  \\  =  \frac{1}{4}  +  \frac{1}{2}  +  \frac{3}{4}  \\  \frac{6}/

= 3/2

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